Comparison of the performance and dynamics of the asymmetric single-sided and symmetric double-sided vibro-impact nonlinear energy sinks with optimized designs
Petro Lizunov, Olga Pogorelova, Tetyana Postnikova
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引用次数: 0
Abstract
The operation of symmetric double-sided and asymmetric single-sided vibro-impact nonlinear energy sinks (DSVI NES and SSVI NES) is considered in this study. The methodology of optimization procedures is described. It is emphasized that the execution of optimization procedures is ambiguous, allows for a great deal of arbitrariness, and requires experience and intuition on the part of the implementer. There are a lot of damper parameter sets providing similar attenuation of the primary structure (PS) vibrations. It is shown that the efficiency of such mitigation for both VI NES types with optimized parameters is similar. However, their dynamic behavior differs significantly. The system with the attached DSVI NES exhibits calm dynamics with periodic motion and symmetrical bilateral impacts on both obstacles. The system with attached SSVI NES exhibits rich complex dynamics when the exciting force frequency is varied. Periodic modes of different periodicity with different numbers of asymmetric impacts per cycle on the PS directly and on the obstacle alternate with various irregular regimes, namely, chaotic mode, intermittency, and crisis-induced intermittency. The regions of bilateral impacts are narrow and located near resonance; they are narrower for a system with an attached DSVI NES. In a system with an attached SSVI NES, there are wider areas of asymmetric unilateral impacts.
本研究考虑了对称双面和非对称单面振动冲击非线性能量汇(DSVI NES 和 SSVI NES)的运行。本文介绍了优化程序的方法。需要强调的是,优化程序的执行是模糊的,允许很大的任意性,需要执行者的经验和直觉。有很多阻尼器参数集可以提供类似的主结构(PS)振动衰减。结果表明,在参数优化的情况下,两种 VI NES 类型的减震效率是相似的。然而,它们的动态行为却有很大不同。附带 DSVI NES 的系统表现出平静的动态,具有周期性运动和对两个障碍物的对称双边撞击。当激振力频率变化时,附带 SSVI NES 的系统表现出丰富复杂的动力学特性。具有不同周期性的周期模式与各种不规则状态交替出现,即混沌模式、间歇模式和危机诱发的间歇模式。双边撞击区域很窄,位于共振附近;对于附加 DSVI NES 的系统,双边撞击区域更窄。在附带 SSVI NES 的系统中,非对称单边冲击区域较宽。